00792nas a2200109   4500008004300000245004300043210004200086260005400128520044800182100001600630856003600646       2010                        en_Ud  00aGauge theory: from physics to geometry0 aGauge theory from physics to geometry  bIstituto di matematica. Universita\\\' di Trieste3 aMaxwell theory may be regarded as a prototype of gauge theory and generalized to nonabelian gauge theory. We briey sketch the history of the gauge theories, from Maxwell to Yang-Mills theory, and the identification of gauge fields with connections on fibre bundles. We introduce the notion of instanton and consider the moduli spaces of such objects. Finally, we discuss some modern techniques for studying the topology of these moduli spaces.1 aBruzzo, Ugo  uhttp://hdl.handle.net/1963/4105